All categories

3 years ago

Write the equation of a line PERPENDICULAR

Mathematics

1 answer:

loris [4]3 years ago

5 0

Answer:

im pretty sure its y=1/3x

Step-by-step explanation:

rearrange for y to be subject

its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient

then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0 and your whole equation is y=1/3x

You might be interested in

4x^2-9 (Using Grouping Method please)

elena55 [62]

Answer:

16x square -9

Step-by-step explanation:

4x^2-9=

4x*4x-9

16x square -9

5 0

4 years ago

8 = 6 + a/4 a=___ help

mart [117]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1

tatuchka [14]

Answer:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Where $\frac{dx}{dt}$ and $\frac{dy}{dt}$ are the first derivatives of $x$ and $y$ regarding $t$ . Let be $x(t) =2\cdot \cos t$ and $y(t) = 8\cdot \sin t$ , their first derivatives are found:

$\frac{dx}{dt} = -2\cdot \sin t$ and $\frac{dy}{dt} = 8\cdot \cos t$

Thus, equation for the slope is:

$\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}$

$\frac{dy}{dx} = -\frac{4}{\tan t}$

If $\frac{dy}{dx} = -1$ , then:

$-1 = -\frac{4}{\tan t}$

$\tan t = 4$

Tangent is positive at 1st quadrant and is a function with a periodicity of $\pi$ , the set of solutions are:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

7 0

3 years ago

You deposit $1500 in an account that pays 5% interest yearly. How much money do you have after 6 years?

Zanzabum

How you find the aswer to intrest is you multiply principle ( amount put in) times rate (percentage) times time (how long the principle was in) so I am going to multiply 1,500 * .05 *6 the answer is 450, then I am doing to add that to the principal, the answer i s 1,950.

3 0

3 years ago

color copies cost 10 cents per copy and white copies cost 5 cents per copy. sandy made 400 copies, some of which were colored an

muminat

The answer is 80 copies

7 0

3 years ago